h-net: hqc1814


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,3,6,4}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(8, 20, 52, 112, 252, 548, 1212, 2660, 5864, 12900), (3, 12, 27, 73, 152, 350, 748, 1674, 3648, 8078), (6, 24, 48, 114, 240, 546, 1182, 2628, 5754, 12696), (4, 10, 36, 72, 174, 360, 826, 1776, 3966, 8660)]
Delaney-Dress Symbol <1814.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 3 6 4>
Dual net hqc1652

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc14070 Pm-3m 221 cubic {8,3,6,4} 56 (4,5)
Full image sqc14069 I4132 214 cubic {8,3,6,4} 56 (4,6)
Full image sqc12480 P4232 208 cubic {6,3,8,4} 28 (4,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4949 *2223 (4,5,2) {8,3,6,4} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc14070 Snet sqc14069 Snet sqc12480

Symmetry-lowered hyperbolic tilings